We study some structural and topological properties of the frontiers of objects in a certain class of discrete spaces, in the framework of simplicial complexes and partial orders. In a previous work, we introduced the notion of frontier order, which allows to define the frontier of any object in an n-dimensional space. The main goal of this paper is to exhibit the links which exist between fron...

We present a new spatial partitioning scheme called frontier sets. Frontier sets build on the notion of a potentially visible set (PVS) [ARB90, TS91]. In a PVS a world is sub-divided into cells and for each cell all the other cells that can be seen are computed. Frontier sets represents regions of mutual invisibility. One frontier in a frontier set considers pairs of cells, A and B. It lists tw...

We provide an analysis of frontier market equities with respect to world market integration and diversification. Principal component results reveal that frontier markets exhibit low levels of integration. In contrast with developed and emerging markets, frontier markets offer no indication of increasing integration through time. Furthermore, individual frontier market countries do not exhibit c...

In the use of peer group data to assess individual, typical or best practice performance, the effective detection of outliers is critical for achieving useful results, particularly for two-stage analyses. In the DEA-related literature, prior work on this issue has focused on the efficient frontier as a basis for detecting outliers. An iterative approach to deal with the potential for one outlie...

The cost of milk production by farm size was decomposed into frontier and efficiency components with a stochastic cost curve using data on 755 USA dairy farms from the year 2000. The estimated frontier function is much flatter than the composite cost curve, and although the frontier cost of production decreases with farm size, that cost reduction is not as pronounced as a cost curve that includ...

Many graph problems require us to find subgraphs satisfying constraints such as no cycle, connected, degree-bounded and so on. Frontier-based search is a framework to construct a compressed data structure ZDD storing all subgraphs satisfying constraints in a given graph. Since frontier-based search processes edges one by one in a given order, we should determine an edge order of a given graph a...

this study examines the responsible energy consumption of listed european hotels. hotel efficiency is estimated using a stochastic frontier analysis (sfa) production function, with supplies costs as the input and total revenue as the output. cluster analysis is used to group the hotels into homogeneous groups according to their efficiency level, size, or profitability. the results show that the...

in this paper imprecise target models has been proposed to investigate the relation between imprecise data envelopment analysis (idea) and mini-max reference point formulations. through these models, the decision makers' preferences are involved in interactive trade-off analysis procedures in multiple objective linear programming with imprecise data. in addition, the gradient projection type me...

We present a new Control Volume Finite Element Method (CVFEM) for the drift-diffusion equations. The method combines a conservative formulation of the current continuity equations with a novel definition of an exponentially fitted elemental current density. An edge element representation of the nodal CVFEM current density in the diffusive limit motivates this definition. We prove that in the ab...